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131144024031 = 3672273287047
BaseRepresentation
bin111101000100011001…
…0101111111111011111
3110112111122121200120020
41322020302233333133
54122040332232111
6140125143323223
712321604545246
oct1721062577737
9415448550506
10131144024031
1150688423339
12214bba50513
13c49cbca827
1464c13c795d
1536284e3906
hex1e88caffdf

131144024031 has 16 divisors (see below), whose sum is σ = 177547225344. Its totient is φ = 86086243584.

The previous prime is 131144024003. The next prime is 131144024107. The reversal of 131144024031 is 130420441131.

It is not a de Polignac number, because 131144024031 - 217 = 131143892959 is a prime.

It is a super-2 number, since 2×1311440240312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131144023992 and 131144024010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131144024131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313350 + ... + 600396.

It is an arithmetic number, because the mean of its divisors is an integer number (11096701584).

Almost surely, 2131144024031 is an apocalyptic number.

131144024031 is a deficient number, since it is larger than the sum of its proper divisors (46403201313).

131144024031 is a wasteful number, since it uses less digits than its factorization.

131144024031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289390.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131144024031 its reverse (130420441131), we get a palindrome (261564465162).

The spelling of 131144024031 in words is "one hundred thirty-one billion, one hundred forty-four million, twenty-four thousand, thirty-one".

Divisors: 1 3 67 201 2273 6819 152291 287047 456873 861141 19232149 57696447 652457831 1957373493 43714674677 131144024031